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x=\beta x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x-\beta x=0
Subtract \beta x from both sides.
\left(1-\beta \right)x=0
Combine all terms containing x.
x=0
Divide 0 by 1-\beta .
x\in \emptyset
Variable x cannot be equal to 0.
x=\beta x
Multiply both sides of the equation by x.
\beta x=x
Swap sides so that all variable terms are on the left hand side.
x\beta =x
The equation is in standard form.
\frac{x\beta }{x}=\frac{x}{x}
Divide both sides by x.
\beta =\frac{x}{x}
Dividing by x undoes the multiplication by x.
\beta =1
Divide x by x.